Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 759: 82

Answer

(a) $24\mu F$ (b) $8.4mA$

Work Step by Step

(a) We can find the required capacitance as follows: $C=\frac{t}{R}$ We plug in the known values to obtain: $C=\frac{3.5\times 10^{-3}s}{145\Omega}$ $C=24\mu F$ (b) The required current can be determined as $I=(\frac{\mathcal{E}}{R})e^{-t/r}$ We plug in the known values to obtain: $I=(\frac{9.0V}{145\Omega})e^{-\frac{7.0ms}{3.5ms}}$ $I=(0.062A)e^{-2}$ $I=8.4mA$
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